In Figure 8-35, a runaway truck with failed brakes is movingdowngrade at 114 km/

Question

In Figure 8-35, a runaway truck with failed brakes is movingdowngrade at 114 km/h just before thedriver steers the truck to travel up a frictionless emergencyescape ramp with an inclination of 15°. The truck's mass is5000 kg. (a) What minimum length L must the ramp have if thetruck is to stop (momentarily) along it? (Assume the truck is aparticle, and justufy that assumption.) (b) Does the minimum length L increase, decrease, orremain the same if the truck's mass is decreased? a.remain the sameb.increase    c.decrease (c) Does the minimum length L increase, decrease, orremain the same if the truck's speed is decreased? a.increaseb.remain thesame  c.decrease (c) Does the minimum length L increase, decrease, orremain the same if the truck's speed is decreased? a.increaseb.remain thesame  c.decrease

Explanation / Answer

you can answer these questions easier if you look at potentialenergy and kinetic 1. potential = mgh kinetic = 1/2mv^2 set them equal mgh=(1/2)mv^2 2gh=v^2 plug in the constants suplied(velocity = 114000/3600 m/s=31.666 2(9.8)h=(31.66)^2 51.162=h h/L=sin(/12) L=195.424m 2. as you can see from the equation the mass cancels out thereforeit is irrelevant 3.just plug in a larger velocity and see. once you do that you can see that as velocity increases theLength with increase

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.